Sagot :
The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.
What is an equation or line?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.
What is equation of a straight line?
The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.
Given line ;
y 7 = - 4/3x
now comparing it with y=mx+c to find the value of m and we found;
m1=-4/3
now if two lines are perpendicular then,
m1.m2=-1
m2=3/4
now finding the equation of line passing through the point (-8, -1)
x1=-8
y1=-1
(y−y1)=m(x−x1)
Y+1=(3/4)(x+8)
Y+1=(3x/4)+(24/4)
Y=(3x/4)+(6)-1
Y=(3x+20)/4
4y=3x+20
rearrange;
3x-4y=20
this is our required value.
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